Roud 522, Laws J17. The "trad singer" referred to above by Richard Grainger was indeed George Dunn (Folk Music Journal vol 2 no 4, 1973, 277-278). Mr Dunn's set was recorded by Roy Palmer and has been issued more than once: it is currently available on George Dunn, Chainmaker (Musical Traditions MT CD 317-8). Transcription and notes by Roy Palmer can be seen via the link.

The verses Barbara quotes are very close indeed to Mr Dunn's, with the usual small variations; apart from the final line of verse 3, which has been changed from Mr Dunn's

Let him die in peace, God bless you all, on board a [the] man o' war.

The first and final verses have been introduced from elsewhere, however; perhaps from the broadside.